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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_partialcorrelation.wasp
Title produced by softwarePartial Correlation
Date of computationWed, 12 Nov 2008 04:04:05 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/12/t1226487902wsgyoezy3ue2mcv.htm/, Retrieved Sat, 18 May 2024 21:28:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24122, Retrieved Sat, 18 May 2024 21:28:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact180

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Partial Correlation] [partial correlati...] [2008-11-12 11:04:05] [a16dfd7e948381d8b6391003c5d09447] [Current]
Feedback Forum
2008-11-16 17:29:07 [006ad2c49b6a7c2ad6ab685cfc1dae56] [reply] 
Goed uitgelegd maar je kan er nog wat aan toevoegen. De partiële correlatie kan de effecten van een derde variabele z op de variabelen x en y wegwerken zodat men een duidelijker beeld kan vormen. In dit geval kan men zeggen dat de variabele x een zeer sterk vertekenende invloed heeft op de variabelen z en y. Dit kan men zien door de correlatiecoëfficiënten die zeer sterk verschillen.
2008-11-20 12:21:48 [Carole Thielens] [reply] 
Hier maakt de studente een duidelijke analyse, waaraan niets meer toegevoegd moet worden. Eventueel kan er nog opgemerkt worden dat de derde variabele de controlevariabele wordt genoemd en steeds de correlatie corrigeert tussen de overige twee variabelen.
2008-11-22 10:17:27 [Stephanie Vanderlinden] [reply] 
Bij partial correlation willen we het verband ontdekken tussen 2 variabelen. Als een derde variabele hier een zodanige invloed op heeft dat de correlatie niet meer bruikbaar is, spreken we van een schijncorrelatie. De derde variabele is dus de controlevariabele. De conclusie die genomen is, is correct.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15,9
15,5
15,3
14,5
14,4
14,7
19,1
21,6
20,2
17,9
15,7
14,5
14,1
13,9
14,2
15,3
15,4
15,2
16,5
18,2
18,6
21
19,2
18,7
18,4
17,8
17,2
16,2
15,5
15,3
18,3
19,2
19
18,7
18,1
18,5
21,1
21
20,4
19,5
18,6
18,8
23,7
24,8
25
23,6
22,3
21,8
20,8
19,7
18,3
17,4
17
18,1
23,9
25,6
25,3
23,6
21,9
21,4
20,6
20,5
20,2
20,6
19,7
19,3
22,8
23,5
23,8
22,6
22
21,7
20,7
20,2
19,1
19,5
18,7
18,6
22,2
23,2
23,5
21,3
20
18,7
18,9
18,3
18,4
19,9
19,2
18,5
20,9
20,5
19,4
18,1
17
17
17,3
16,7
15,5
15,3
13,7
14,1
17,3
18,1
18,1
Dataseries Y:
Download CSV
Histogram 
15,5
15,5
15,5
12,2
12,2
12,2
17,3
17,3
17,3
12,7
12,7
12,7
14,1
14,1
14,1
14,3
14,3
14,3
16,8
16,8
16,8
18,7
18,7
18,7
16,8
16,8
16,8
16
16
16
18
18
18
18
18
18
21,6
21,6
21,6
20,1
20,1
20,1
22,9
22,9
22,9
24
24
24
20,3
20,3
20,3
15,8
15,8
15,8
23,2
23,2
23,2
20,9
20,9
20,9
19,8
19,8
19,8
20,6
20,6
20,6
21,1
21,1
21,1
22,4
22,4
22,4
20,5
20,5
20,5
18,4
18,4
18,4
17,6
17,6
17,6
18,5
18,5
18,5
17,3
17,3
17,3
16,2
16,2
16,2
18,5
18,5
18,5
16,3
16,3
16,3
16,8
16,8
16,8
14,8
14,8
14,8
17,6
17,6
17,6
Dataseries Z:
Download CSV
Histogram 
15,6
15,6
15,6
17,4
17,4
17,4
24
24
24
20,2
20,2
20,2
14,1
14,1
14,1
16,6
16,6
16,6
19,1
19,1
19,1
20,8
20,8
20,8
19
19
19
15,2
15,2
15,2
19,9
19,9
19,9
19
19
19
19,9
19,9
19,9
17,5
17,5
17,5
26,6
26,6
26,6
20,8
20,8
20,8
18,9
18,9
18,9
19,5
19,5
19,5
27,1
27,1
27,1
24,1
24,1
24,1
21,3
21,3
21,3
19,1
19,1
19,1
26,2
26,2
26,2
21,7
21,7
21,7
19,4
19,4
19,4
19,5
19,5
19,5
28,7
28,7
28,7
21,8
21,8
21,8
20
20
20
22,6
22,6
22,6
22,4
22,4
22,4
18,6
18,6
18,6
16,2
16,2
16,2
13,8
13,8
13,8
18
18
18

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 7 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24122&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24122&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24122&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R Server'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.854097349299196
Partial Correlation r(xy.z)0.896308239743027
Correlation r(xz)0.86273146875911
Partial Correlation r(xz.y)0.902298783255365
Correlation r(yz)0.551905763571864
Partial Correlation r(yz.x)-0.703230932327373

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Partial Correlation - Ungrouped Data \tabularnewline
Statistic & Value \tabularnewline
Correlation r(xy) & 0.854097349299196 \tabularnewline
Partial Correlation r(xy.z) & 0.896308239743027 \tabularnewline
Correlation r(xz) & 0.86273146875911 \tabularnewline
Partial Correlation r(xz.y) & 0.902298783255365 \tabularnewline
Correlation r(yz) & 0.551905763571864 \tabularnewline
Partial Correlation r(yz.x) & -0.703230932327373 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24122&T=1

[TABLE]
[ROW][C]Pearson Product Moment Partial Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Value[/C][/ROW]
[ROW][C]Correlation r(xy)[/C][C]0.854097349299196[/C][/ROW]
[ROW][C]Partial Correlation r(xy.z)[/C][C]0.896308239743027[/C][/ROW]
[ROW][C]Correlation r(xz)[/C][C]0.86273146875911[/C][/ROW]
[ROW][C]Partial Correlation r(xz.y)[/C][C]0.902298783255365[/C][/ROW]
[ROW][C]Correlation r(yz)[/C][C]0.551905763571864[/C][/ROW]
[ROW][C]Partial Correlation r(yz.x)[/C][C]-0.703230932327373[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24122&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24122&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Partial Correlation - Ungrouped Data
StatisticValue
Correlation r(xy)0.854097349299196
Partial Correlation r(xy.z)0.896308239743027
Correlation r(xz)0.86273146875911
Partial Correlation r(xz.y)0.902298783255365
Correlation r(yz)0.551905763571864
Partial Correlation r(yz.x)-0.703230932327373


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
(rho12 <- cor(x, y))
(rho23 <- cor(y, z))
(rho13 <- cor(x, z))
(rhoxy_z <- (rho12-(rho13*rho23))/(sqrt(1-(rho13*rho13)) * sqrt(1-(rho23*rho23))))
(rhoxz_y <- (rho13-(rho12*rho23))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho23*rho23))))
(rhoyz_x <- (rho23-(rho12*rho13))/(sqrt(1-(rho12*rho12)) * sqrt(1-(rho13*rho13))))
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Partial Correlation - Ungrouped Data',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Value',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation r(xy)',header=TRUE)
a<-table.element(a,rho12)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('partial_correlation1.htm','Partial Correlation r(xy.z)',''),header=TRUE)
a<-table.element(a,rhoxy_z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation r(xz)',header=TRUE)
a<-table.element(a,rho13)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('partial_correlation1.htm','Partial Correlation r(xz.y)',''),header=TRUE)
a<-table.element(a,rhoxz_y)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Correlation r(yz)',header=TRUE)
a<-table.element(a,rho23)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('partial_correlation1.htm','Partial Correlation r(yz.x)',''),header=TRUE)
a<-table.element(a,rhoyz_x)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')